Skyrmion Solutions to the Weinberg-Salam Model

Abstract

We find a spherically symmetric solution to the gauged SU(2)L ⊗ SU(2)R chiral model. It corresponds to a new classical solution to the Weinberg-Salam model in the limit of infinite self-coupling and sin^2θW = 0. It has an energy of 11.6 TeV and is classically unstable under small perturbations of the fields. Quantum corrections may stabilize the solution via the introduction of higher-order terms in the effective action. We then investigate the solutions when a particular choice of a correction, the Skyrme term, is added to the Lagrangean. The energies of the (presumably) classically stable solutions are in the teraelectronvolt region.

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